The process by which a previously normal person undergoes a Hollywood version of spiritual enlightenment and training. After this training (which is always set in inhospitable places, preferrably in Asia) the person comes back Chuck Norris level badass.

Batman Begins, training sequence. THAT was some serious monkery.

The 80's had a lot of monkery going on as well. Rocky IV training sequence, anything with Van Damme in it, and of course, Hard to Kill. His monkery was a coma.